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Finding the Fourth Proportional to 564.22, 844.62 and 492.22

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Solution

The fourth proportional to 564.22, 844.62 and 492.22 is: 736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 844.62 = 492.22 : x
  2. Step 2: Convert to fraction form
    564.22/844.62 = 492.22/x
  3. Step 3: Cross multiply
    564.22x = 844.62 × 492.22
  4. Step 4: Simplify right side
    564.22x = 415,738.86
  5. Step 5: Solve for x
    x = 415,738.86/564.22
  6. Step 6: Final answer
    x = 736.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.